MP Board · Class 11 · Physics · Motion in a PlaneThe angle between two vectors $\vec{A}$ and $\vec{B}$ is given by $\theta$. What is the scalar product (dot product) of these two vectors?
Step-by-Step Solution
The scalar product of two vectors $\vec{A}$ and $\vec{B}$ is defined as $AB \cos\theta$, which yields a scalar value representing the product of the magnitude of one vector and the component of the other along it.
Detailed Options Breakdown
Option : $AB \sin\theta$
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Motion in a Plane.
Option 1: $AB \cos\theta$ (Correct Answer)
Correct choice. Refer to the step-by-step verified solution guidelines above for details.
Option 2: $A \times B$
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Motion in a Plane.
Option 3: $A \cdot B \sin\theta$
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Motion in a Plane.
💡 Study Guide: This question tests core syllabus concepts from Motion in a Plane. For formulas, key summaries, and mock exam reference guides, read the full Motion in a Plane Revision Notes.